Maria has 12 more dollars than chris and in total they have 72 dollars how many does each have

Mathematics

2 answers:

ratelena [41]3 years ago

6 0

Answer:

Chris has 30$

Maria has 42$

Step-by-step explanation:

This is a very simple question, let me show you how it is done

First of all, if Maria has 12 more dollars than Chris, therefore we have to find out how much Chris has first. In total, they have 72 and Maria has 12 dollars more than Chris so one way to solve this problem is to subtract 12 leaving us with 60, then we can divide it by 2 leaving us with 30, hence 30$ is the amount of money Chris has. But we're not done yet because we still have to find out how much Maria has, and in order to do that we simply have to add 12 to 30 and this leaves us with 42, Thus Maria has 42$ and Chris has 30$

Hope this Helps!

Viefleur [7K]3 years ago

5 0

Answer:

$24

Step-by-step explanation:

brainliest plzzz

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If you're using the app, try seeing this answer through your browser: brainly.com/question/2762144

_______________

Let $\mathsf{\theta=cos^{-1}\!\left(\dfrac{4}{5}\right).}$

$\mathsf{0\le \theta\le\pi,}$ because that is the range of the inverse cosine funcition.

Also,

$\mathsf{cos\,\theta=cos\!\left[cos^{-1}\!\left(\dfrac{4}{5}\right)\right]}\\\\\\
\mathsf{cos\,\theta=\dfrac{4}{5}}\\\\\\ \mathsf{5\,cos\,\theta=4}$

Square both sides and apply the fundamental trigonometric identity:

$\mathsf{(5\,cos\,\theta)^2=4^2}\\\\
\mathsf{5^2\,cos^2\,\theta=4^2}\\\\
\mathsf{25\,cos^2\,\theta=16\qquad\qquad(but,~cos^2\,\theta=1-sin^2\,\theta)}\\\\
\mathsf{25\cdot (1-sin^2\,\theta)=16}$

$\mathsf{25-25\,sin^2\,\theta=16}\\\\
\mathsf{25-16=25\,sin^2\,\theta}\\\\
\mathsf{9=25\,sin^2\,\theta}\\\\
\mathsf{sin^2\,\theta=\dfrac{9}{25}}
$

$\mathsf{sin\,\theta=\pm\,\sqrt{\dfrac{9}{25}}}\\\\\\
\mathsf{sin\,\theta=\pm\,\sqrt{\dfrac{3^2}{5^2}}}\\\\\\
\mathsf{sin\,\theta=\pm\,\dfrac{3}{5}}$

But $\mathsf{0\le \theta\le\pi,}$ which means $\theta$ lies either in the 1st or the 2nd quadrant. So $\mathsf{sin\,\theta}$ is a positive number:

$\mathsf{sin\,\theta=\dfrac{3}{5}}\\\\\\
\therefore~~\mathsf{sin\!\left[cos^{-1}\!\left(\dfrac{4}{5}\right)\right]=\dfrac{3}{5}\qquad\quad\checkmark}$

I hope this helps. =)

Tags: inverse trigonometric function cosine sine cos sin trig trigonometry

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Answer: